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Finding the Fourth Proportional to 517,738.40, 776,145.90 and 202,121.90

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Solution

The fourth proportional to 517,738.40, 776,145.90 and 202,121.90 is: 303,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,738.40 : 776,145.90 = 202,121.90 : x
  2. Step 2: Convert to fraction form
    517,738.40/776,145.90 = 202,121.90/x
  3. Step 3: Cross multiply
    517,738.40x = 776,145.90 × 202,121.90
  4. Step 4: Simplify right side
    517,738.40x = 156,876,083,985.21
  5. Step 5: Solve for x
    x = 156,876,083,985.21/517,738.40
  6. Step 6: Final answer
    x = 303,002.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.